How Do You Solve a System of Equations Using Substitution if One Equation is a Quadratic?

How Do You Solve a System of Equations Using Substitution if One Equation is a Quadratic?

Note:

Substitution is a great way to solve a system of equations! In this tutorial, you'll see how the substitution method is used to solve a system of equations involving both a linear and a quadratic equation!

Keywords:

  • problem
  • solution
  • substitution
  • system of equations
  • system
  • linear
  • quadratic

Background Tutorials

  • Factoring Algebraic Expressions

      • What are Like Terms?What are Like Terms?

      What are Like Terms?

      Combining like terms together is a key part of simplifying mathematical expressions, so check out this tutorial to see how you can easily pick out like terms from an expression

  • What are Simultaneous Linear Equations in Two Variables?

      • What's a Solution to a System of Linear Equations?What's a Solution to a System of Linear Equations?

      What's a Solution to a System of Linear Equations?

      If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time. Follow along as this tutorial uses an example to explain the solution to a system of equations!

  • Solving Simultaneous Linear Equations Using Substitution

      • How Do You Solve a System of Equations Using the Substitution Method?How Do You Solve a System of Equations Using the Substitution Method?

      How Do You Solve a System of Equations Using the Substitution Method?

      There are many different ways to solve a system of linear equations. In this tutorial, you'll see how to solve a system of linear equations by substituting one equation into the other and solving for the variable. Then, see how to use that variable value to find the value of the other variable. Check it out!

  • Factoring to Solve Quadratic Equations

      • How Do You Solve a Quadratic Equation by Factoring?How Do You Solve a Quadratic Equation by Factoring?

      How Do You Solve a Quadratic Equation by Factoring?

      One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!